On the Navier-Stokes flow down an inclined plane

DOI10.1215/kjm/1250519495zbMath0784.76021OpenAlexW1944257510MaRDI QIDQ1210072

Yoshiaki Teramoto

Publication date: 16 May 1993

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519495

zbMATH Keywords

existence theoremeffect of gravityadherence boundary condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)

Related Items (9)

Large-time existence of surface waves in incompressible viscous fluids with or without surface tension ⋮ Well-posedness of surface wave equations above a viscoelastic fluid ⋮ Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface ⋮ Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem ⋮ Uniform estimates for the flow of a viscous incompressible fluid down an inclined plane in the thin film regime ⋮ Viscous incompressible free-surface flow down an inclined perturbed plane ⋮ A mathematical justification of a thin film approximation for the flow down an inclined plane ⋮ The linearization principle for a free boundary problem for viscous, capillary incompressible fluids ⋮ Loss of control of motions from initial data for pending capillary liquid

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